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Finding the Third Proportional to 165,454 and 358,900

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Solution

The third proportional to 165,454 and 358,900 is: 778,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,454 : 358,900 = 358,900 : x
  2. Step 2: Convert to fraction form
    165,454/358,900 = 358,900/x
  3. Step 3: Cross multiply
    165,454x = 358,900 × 358,900
  4. Step 4: Simplify right side
    165,454x = 128,809,210,000
  5. Step 5: Solve for x
    x = 128,809,210,000/165,454
  6. Step 6: Final answer
    x = 778,519.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.